Answer:
Step-by-step explanation:
Given points P(1, -1, 4), Q (4,2,1) vector equation of a line joining the points with position vectors r₀ and r₁ is:
r = (1 - t)r₀ + tr₁
where
t ∈ [0, 1]
and r₀ = P = (1, -1, 4)
r₁ = Q = (4, 2, 1)
r(t) = (1 - t) 
+ t
∴
The vector equation where t ∈ [0,1] is:
r(t) = (1+3t)i - (1+3t)j + (4 - 3t)k
The parametric equation is:
x(t) = 1 + 3t
y(t) = -1 + 3t
z(t) = 4 - 3t
(x(t), y(t), z(t) ) = ( 1 + 3t, -1 + 3t, 4 - 3t )
Answer:
The length would be 32 and the width would be 10
Step-by-step explanation:
For the purpose of this, we'll set the width as x. We can then define the length as x + 22 since we know it is 22 ft longer than the width. Now we can use those along with the perimeter formula to solve for the width.
P = 2l + 2w
84 = 2(x + 22) + 2(x)
84 = 2x + 44 + 2x
84 = 4x + 44
40 = 4x
10 = x
Now since we know that the width is 10ft, we can add 22ft to it to get the length, which would be 32ft.
Thousands is a word to describe number with 1000 value and tens used for the number with 10 value. First, you need to count how much 500 tens is. The calculation would be: 500 * 10= 5000.
Then to convert it into thousand, you need to divide it with 1000. The calculation would be: 5000/1000 = 5 thousands
Answer:
3.30 and 3.32? I think
Step-by-step explanation:
The 
= 3.31
